Titlebook: Exploring Mathematical Analysis, Approximation Theory, and Optimization; 270 Years Since A.-M Nicholas J. Daras,Michael Th. Rassias,Nikolao

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Ostrowski and Trapezoid Type Inequalities for Riemann-Liouville Fractional Integrals of Functions w bounded variation and of Lipschitzian functions. Applications for mid-point and trapezoid inequalities are provided as well. They generalize the know results holding for the classical Riemann integral.

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On the Application of Ergodic Theory to an Alternating Series Expansion for Real Numbers,ernating series representations in terms of rationals we present some important results arising from the application of ergodic theory to an alternating series expansion for real numbers in terms of rationals generating from another algorithm called . which gives generalized versions of the correspo

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New Trends in Geometric Function Theory,asses of analytic functions are given in a unified and generalized form. Basic properties, necessary conditions, distortion and coefficient results together with the Fekete-Szego and Hankel determinant problems are highlighted. Certain linear operators and the use of .-calculus in this area are also

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A Unified Approach to Extended General Quasi Variational Inclusions, and simple framework to consider a wide class of unrelated problems arising in pure and applied sciences. We establish the equivalence between the general quasi variational inclusions and the fixed point problems. This alternative equivalence formulation is applied to discuss the existence of a sol

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On Ergodic States, Spontaneous Symmetry Breaking and Quasi-Averages,es include quantum spin systems and many-body boson systems. As a consequence, we elucidate the problem of equivalence between Bose-Einstein condensation and the quasi-average spontaneous symmetry breaking of the gauge invariance recently discussed for continuous boson systems. The multi-mode extend